Question

17.) 256^ycdot 16^y-1=4^2y-22

Name: 17.) 256^ycdot 16^y-1=4^2y-22
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4 (230 Votes)

Nelson Elite · Tutor for 8 years

To solve the equation

, we start by expressing all terms as powers of 4:1. Express 256, 16, and 4 as powers of 4: -

2. Substitute these into the equation:

3. Simplify the exponents:

4. Combine the exponents on the left side:

5. Simplify the left side:

6. Since the bases are the same, set the exponents equal:

7. Solve for

Thus, the solution is